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Cleverfrortal
StudenMUE
CUPCAKES 2048 .
2048
c
Clever (Porta)
clasessoro
BIG IDEAS MATH
Khe
#5
i
Listen
Approximate the number to the nearest (a) integer and (b) tenth.

-sqrt87
a. nearest integer: -9
b. nearest tenth:
◻
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Cleverfrortal $\newline$ StudenMUE $\newline$ CUPCAKES $2048$ . $\newline$ $2048$ $\newline$ c $\newline$ Clever (Porta) $\newline$ clasessoro $\newline$ BIG IDEAS MATH $\newline$ Khe $\newline$ \# $5$ $\newline$ i $\newline$ Listen $\newline$ Approximate the number to the nearest (a) integer and (b) tenth. $\newline$ $-\sqrt{87}$ $\newline$ a. nearest integer: $-9$ $\newline$ b. nearest tenth: $\square$ $\newline$ Previous $\newline$ $1$ $\newline$ $2$ $\newline$ $3$ $\newline$ $4$ $\newline$ $5$ $\newline$ $6$ $\newline$ Next

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Estimate products of mixed numbers

Full solution

Q. Cleverfrortal

\newline

StudenMUE

\newline

CUPCAKES

2048

.

\newline

2048

\newline

c

\newline

Clever (Porta)

\newline

clasessoro

\newline

BIG IDEAS MATH

\newline

Khe

\newline

\#

5

\newline

i

\newline

Listen

\newline

Approximate the number to the nearest (a) integer and (b) tenth.

\newline

-\sqrt{87}

\newline

a. nearest integer:

-9

\newline

b. nearest tenth:

\square

\newline

Previous

\newline

1

\newline

2

\newline

3

\newline

4

\newline

5

\newline

6

\newline

Next

Recognize as Imaginary Number: First, we need to recognize that the square root of a negative number is not a real number, but an imaginary number. We can write the square root of $-87$ as $\sqrt{87} \times i$ , where $i$ is the imaginary unit.
Approximate $\sqrt{87}$ : Now, let's approximate $\sqrt{87}$ to the nearest tenth. We know that $\sqrt{81} = 9$ and $\sqrt{100} = 10$ . Since $87$ is closer to $81$ than to $100$ , we can estimate that $\sqrt{87}$ is a bit more than $9$ .
Calculate $\sqrt{87}$ : Using a calculator, we find that $\sqrt{87}$ is approximately $9.327379$ . To the nearest tenth, this is $9.3$ .
Final Result: Therefore, the square root of $-87$ , to the nearest tenth, is approximately $-9.3i$ , where $i$ is the imaginary unit.

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